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Means Of Hilbert Space Operators - ENG

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ISBN: 9783540451525
Formato: Page Fidelity
Idioma: Inglés
Editorial: Springer Nature
Tema: Matemáticas
Subtema: Análisis Funcional
Año de publicación: 2003-12-09

The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Pellers characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.

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